- #1
Drako Amorim
- 11
- 4
Homework Statement
Hello everyone. The problem is related to these two capacitor connections:
In the enunciate it is said that these two are equivalent and it is requested to prove that:
- C1=(CxCy+CyCz+CzCx)/Cx
- C2=(CxCy+CyCz+CzCx)/Cy
- C1=(CxCy+CyCz+CzCx)/Cz
Homework Equations
C=Q/Vab (Capacitance definition)
The Attempt at a Solution
My problem with the solution is that I do not know how to analyze them, because of the two potentials differences.
My progress:
It is seen that the two potential differences and the two electric charges are the same in the two arrangements, so I tried to isolate Vac and Vbc in function of the electric charges: to no avail.
I noticed that in the first image, the capacitor at the top will have an electric charge merged from the two originals, that I call q3, so the left capacitor will have a charge of q1 - q3 (or q1+q3?) and the another will have a charge of q2+q3(or q2-q3?), I believe of that order do not import.
Can you give me a light on how to do this? Sorry for my poor English, I'm not proficient.